133120100 has 36 divisors (see below), whose sum is σ = 294332724. Its totient is φ = 52241280.

The previous prime is 133120051. The next prime is 133120103. The reversal of 133120100 is 1021331.

It can be written as a sum of positive squares in 6 ways, for example, as 40804 + 133079296 = 202^2 + 11536^2 .

It is a super-2 number, since 2×133120100² = 35441922048020000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133120103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7259 + ... + 17858.

It is an arithmetic number, because the mean of its divisors is an integer number (8175909).

Almost surely, 2^133120100 is an apocalyptic number.

133120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133120100 is an abundant number, since it is smaller than the sum of its proper divisors (161212624).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133120100 is a wasteful number, since it uses less digits than its factorization.

133120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25184 (or 25177 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 133120100 is about 11537.7684150792. The cubic root of 133120100 is about 510.6004717634.

Adding to 133120100 its reverse (1021331), we get a palindrome (134141431).

The spelling of 133120100 in words is "one hundred thirty-three million, one hundred twenty thousand, one hundred".